1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ExtremeBDS [4]
1 year ago
10

Right triangle JKL is inscribed in circle N. Find the area of the shaded region.

Mathematics
2 answers:
Sergio [31]1 year ago
7 0

Answer:

1272.2 units²

Step-by-step explanation:

This problem requires several steps.

1. The shaded area is the area of the circle minus the area of the triangle.

2. The area of the circle can be found using the radius. We are not given the radius, but using the right triangle, we can fond the diameter. Then the radius is half of the diameter.

3. The area of the triangle is base × height / 2. The base and the height are the given lengths of the legs.

Let's use the Pythagorean theorem with the triangle to find the diameter. The diameter is the hypotenuse of the right triangle.

a² + b² = c²

40² + 9² = c²

1600 + 81 = c²

c² = 1681

c = √1681

c = 41

The diameter of the circle is 41.

radius = diameter/2 = 41/2 = 21.5

The radius of the circle is 21.5

shaded area = area of circle - area of triangle

area of circle = πr²

area of triangle = bh/2

shaded area = πr² - bh/2

shaded area = (3.14159)(21.5)² - (40)(9)/2

shaded area = 1452.2 - 180

shaded area = 1272.2 units²

defon1 year ago
4 0
Answer : 9 units? Im not sure
You might be interested in
Consider the figure shown. what is the measure of the given angles?
Mars2501 [29]

Step-by-step explanation:

180°=46° +2x=> 2x=134°=>x=67°

x+y=180°=>y=180° -x=>y= 180°-67°=>y=113°

7 0
2 years ago
Please help this is due today.
jok3333 [9.3K]
Ummmm I’m not sureeeeeeeee
3 0
3 years ago
Evaluate (-27)^-4/3 ((-27 to the power of -4/3))
masha68 [24]

Answer:

-1/81

Step-by-step explanation:

-27^-4/3

cbrt(-27^-4)

cbrt(-1/531441)

-1/81

5 0
3 years ago
Read 2 more answers
A square has a perimeter of 100 square meters. What is the perimeter of the square
inna [77]
You mean a square has an AREA of 100 square meters?
The length of 1 side equals square root of 100 = 10 meters.
Therefore perimeter = 4 * 10 = 40 meters.


3 0
2 years ago
Read 2 more answers
41 out of 50 women surveyed liked perfume. what percentage of women did NOT like perfume​
krok68 [10]

Answer:

18%

Step-by-step explanation:

Long Version: 41/50 = 0.82 and when you move the decimal two places right, you will get 82%. 100%-82%= 18%

Short Version: 9/50 people didn't like perfume. 9/50= 0.18 then you move the decimal two places right and it becomes 18%.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which division problem does the number line best illustrate
    11·2 answers
  • A ______ is an expression that can be written in the form of p/q where p and q are polynomials and q
    14·1 answer
  • Please answer quickly:
    13·1 answer
  • X= steps y= number of blocks <br> Someone please help
    5·1 answer
  • Solve for y. y - 4 = -3(x - 3)​
    11·2 answers
  • The Chiquita Bananas are on sale for $3.72 for 6 pounds of bananas. Miller's Bananas are on sale for $0.64 per pound. Which comp
    13·1 answer
  • I need help as soon as possible the answers are <br> 7<br> 102<br> 14<br> 51
    6·1 answer
  • 7. A quadratic function has the form y-ax' for
    15·1 answer
  • 40 hours is what part of 120 hours
    14·1 answer
  • Which objects are luminous orange ball, some dogs, lamp, computer screen
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!